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Exotic smooth structures on 3{CP}^2#8{-CP}^2
Jongil Park
Motivated by Stipsicz and Szabó's exotic 4-manifolds with b_2^+=3 and b_2^-=8, we construct a family of simply connected smooth 4-manifolds with b_2^+=3 and b_2^-=8. As a corollary…
Exotic smooth structures on $CP^2#5{\bar CP^2}$
Jongil Park, Andras I Stipsicz, Zoltan Szabo
Motivated by a construction of Fintushel and Stern, we show that the topological 4--manifold $CP^2#5{\bar CP^2}$ supports infinitely many distinct smooth structures.
Non-complex symplectic 4-manifolds with
Jongil Park
In this short article we give a criterion whether a given minimal symplectic 4-manifold with having a torsion-free canonical class is rational or ruled. As a corollar…
The Geography of Spin Symplectic 4-Manifolds
Jongil Park
In this paper we construct a family of simply connected, spin, non-complex, symplectic 4-manifolds which cover all but finitely many allowed lattice points lying in $0 \le…